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Komok [63]
3 years ago
13

Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

The answer to your question is: k = 1

Step-by-step explanation:

Data

MN    (0, -3)  ,  (-2, -4)

AB     (2, 5)   ,  (4 , k)

Formula

 m = \frac{y2 - y1}{x2 - x1}

Process

Slope MN = \frac{-4 + 3}{-2 + 0}   = \frac{1}{2}

Slope AB = \frac{k - 5}{4 - 2}  = \frac{k - 5}{2}

If the lines are perpendicular then,

                  - 2 = \frac{k - 5}{2}

                  -4 = k - 5

                 k = -4 + 5

                 k = 1

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Find the value in Australian dollars for each exchange rate. 
<span>1st exchange rate: </span>
<span>14000/6.21= $2254.43 </span>

<span>2nd exchange rate: </span>
<span>14000/6.37= $2197.80 </span>

<span>Find the difference between the two: </span>
<span>$2254.43 - $2197.80 = $56.63 </span>

Since the first value is greater than your second one Aggie lost money and your answer is <span>It decreases by $56.63.</span>
3 0
3 years ago
Review the expression below -2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Oduvanchick [21]

Answer:

6ab + b^2 - 17a - 4b + 10

Step-by-step explanation:

-2(a+b-5)+3(-5a+2b)+b(6a+b-8)

Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.

Algebraic Operations need to be considered:

[ (-) x (-) = (+); (-) x (+) = (-)]

= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]

= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b

Now, we will make the adjustment by the similarity value.

= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10

= - 17a - 4b + 6ab + b^2 + 10

= 6ab + b^2 - 17a - 4b + 10

Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10

6 0
3 years ago
I need help what is the answer
lisabon 2012 [21]

Answer:

C

Step-by-step explanation:

plug in the points for the equation on C and you'll get see that it fits

5 0
3 years ago
Solve the inequality 3&gt;5-b
victus00 [196]

Answer:

I'm pretty sure its b>2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3>−b+5

Step 2: Flip the equation.

−b+5<3

Step 3: Subtract 5 from both sides.

−b+5−5<3−5

−b<−2

Step 4: Divide both sides by -1.

-b/-1    <     -2/-1

Answer:

b>2

5 0
3 years ago
What is the slope of the line that passes through the points (1,1) and(-1,-5)
bija089 [108]

\frac{2}{ - 6}
5 0
3 years ago
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